The Importance of Proper Renormalization Scale-Setting for Testing QCD at Colliders

Abstract

A primary problem for perturbative QCD analyses is how to set the renormalization scale of the QCD running coupling in order to achieve maximally precise fixed-order predictions for physical observables. The Principle of Maximum Conformality (PMC) eliminates the ambiguities associated with the conventional renormalization scale-setting procedure, giving predictions which are independent of the choice of renormalization scheme. The scales of the QCD couplings and the effective number of quark flavors are set order by order in the pQCD series. The PMC has a solid theoretical foundation, satisfying the standard renormalization group invariance and all of the the self-consistency conditions derived from the renormalization group......In this brief report, we summarize the results of our recent PMC applications for a number of collider processes, emphasizing their generality and applicability....... These results demonstrate that the application of the PMC systematically eliminates a major theoretical uncertainty for pQCD predictions, thus increasing the sensitivity of the colliders to possible new physics beyond the Standard Model.

10 pages, 4 figures. The title has been changed. This review, submitted to Frontiers of Physics, is based on a contribution by S.J.B. at the Conference {\it Workshop on Physics at a Future High Intensity Collider @ 2-7 GeV in China} Hefei, China January 14-16, 2015

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Cited by in corpus (17)

• Implications of the Principle of Maximum Conformality for the QCD Strong Coupling
• Extending the Predictive Power of Perturbative QCD
• A solution to the $\gamma {\gamma }^{\ast }\to {\eta }_c$ puzzle using the Principle of Maximum Conformality
• A precise determination of the top-quark pole mass
• Reanalysis of the Higgs-boson decay $H\to gg$ up to ${\alpha }_s^6$-order level using the principle of maximum conformality
• Gauge dependence of the perturbative QCD predictions under the momentum space subtraction scheme
• A novel determination of non-perturbative contributions to Bjorken sum rule
• Application of the Principle of Maximum Conformality to the Hadroproduction of the Higgs Boson at the LHC
• Detailed Comparison of Renormalization Scale-Setting Procedures based on the Principle of Maximum Conformality
• Light-Front Holography, Color Confinement, and Supersymmetric Features of QCD
• Generalized Crewther relation and a novel demonstration of the scheme independence of commensurate scale relations up to all orders
• Elimination of QCD Renormalization Scale and Scheme Ambiguities
• Reconsideration of the QCD corrections to the ${\eta }_c$ decays into light hadrons using the principle of maximum conformality
• Revisiting the top-quark pair production at future $e^{+}{e}^{-}$ colliders
• The Higgs-Boson Decay $H\to gg$ to Order ${\alpha }_s^5$ under the mMOM-Scheme
• Computation of the one-loop spectral QCD running coupling using covariant spectral regularization
• Properties of the Free Energy Density Using the Principle of Maximum Conformality